A planet is revolving around the sun in an elliptical orbit having eccentricity e = π 4 . If the time period of revolution is 16 months then find the time taken by the planet in going from A to B in months.

t = T π a b π a b 4 + 1 2 a b e t = T 1 4 + e 2 π t = 18 1 4 + 1 8 t = 6 months

Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2020

PhysicsEasynumerical

A planet is revolving around the sun in an elliptical orbit having eccentricity $e (= \frac{π}{4})$ . If the time period of revolution is $16$ months then find the time taken by the planet in going from $A$ to $B$ in months.

Answer:

6.00

Solution:

$t = \frac{T}{π a b} (\frac{π a b}{4} + \frac{1}{2} a b e)$
$t = T (\frac{1}{4} + \frac{e}{2 π})$
$t = 18 (\frac{1}{4} + \frac{1}{8})$
$t = 6$ months

Subject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: PYQ_2020

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